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common area of 4 equilaterals in a square 2017 BMT Team 13

Source:

January 5, 2022
geometryEquilateralsquarearea

Problem Statement

44 equilateral triangles of side length 11 are drawn on the interior of a unit square, each one of which shares a side with one of the 44 sides of the unit square. What is the common area enclosed by all 44 equilateral triangles?